This is immensely ironic, he quoted "Mrs. Robinson," which is at least partially a criticism of people like Trump (source):

He said, “In these days of Presidential transgressions and apologies and prime-time interviews about private sexual matters, we grieve for Joe DiMaggio and mourn the loss of his grace and dignity, his fierce sense of privacy, his fidelity to the memory of his wife and the power of his silence.”

Nice self-own there Trump...